Given below are important objective type questions on coordinate geometry for Grade 9 students.

All the questions are provided with solution and explanation.

**(01) The other name of x axis is:**

(a) Ordinate

(b) Abscissa

**Solution**

Option (b) is correct

**(02) The other name for ” y axis” is**

(a) Ordinate

(b) Abscissa**Solution**

Option (b) is correct

**(03) The intersection of x axis and y axis is called;**

(a) Abscissa

(b) Origin

(c) Ordinate

(d) Coordinate**Solution**

Option (b) is correct.

The point of intersection of x and y axis has coordinate (0, 0) and is called origin.

**(04) What is the angle of intersection of x and y axis;**

(a) 60 degree

(b) 30 degree

(c) 45 degree

(d) 90 degree

**Solution**

Option (d) is correct.

Both x and y axis intersect each other at right angles.

**(05) Tell the location of point (-4, 0)**

(a) x axis

(b) y axis

(c) line parallel to x axis

(d) line parallel to y axis

**Solution**

Option (a) is correct.

The point (-4, 0) lie exactly on x axis.

Given below is the location of point on graph paper.

**(06) In which quadrant does point (-3, 6) lie ?**

(a) First

(b) Second

(c) Third

(d) Fourth**Solution**

Option (b) is correct.

In the given point (-3, 6); x coordinate is negative and y coordinate is positive which is only possible in second quadrant.

Given below is the location of point along with quadrant.

**(07) In which quadrant does point (3, -4) lie ?**

(a) First

(b) Second

(c) Third

(d) Fourth

**Solution**

Option (d) is correct.

In the given point (3, -4), x coordinate is positive and y coordinate is negative which is possible only in fourth quadrant.

**(08) What is the value of x coordinate of ” y axis line ” ?**

(a) 2

(b) 5

(c) 0

(d) 1

**Solution**

Option (c) is correct

In y axis line, the value of x coordinate is zero.

**(09) They coordinate of a point is a positive value. In which quadrant can the given point lie ?**

(a) First or second quadrant

(b) Second or fourth quadrant

(c) Third or first quadrant

(d) Second or third quadrant

**Solution**

Option (a) is correct.

Only in first and second quadrant, the positive value of y coordinate is possible.

**(10)** Let the given point is (-5, 3). What is the perpendicular distance of given point from y axis ?

(a) 10 units

(b) 3 units

(c) 6 units

(d) 5 units

**Solution**

Option (d) is correct

In coordinate geometry, the x coordinate tells the locate of point from y axis.

**(11)** Let the given point is (-2, -4). What is the perpendicular distance of point from x axis ?

(a) 2 units

(b) 4 units

(c) 6 units

(d) 8 units

**Solution**

Option (b) is correct.

In coordinate geometry, the y coordinate tells the perpendicular distance from x axis.

**(12) Calculate the distance of point (-3, -4) from origin**

(a) 7 units

(b) 6 units

(c) 10 units

(d) 5 units

**Solution**

Option (d) is correct

Here the point A is point (-3, -4).

Consider the right triangle OAB in above figure.

AB = 3 units

BC = 4 units

Applying Pythagoras theorem;

\mathtt{OA^{2} =AB^{2} +BO^{2}}\\\ \\ \mathtt{OA^{2} =3^{2} +4^{2}}\\\ \\ \mathtt{OA^{2} =9\ +\ 16}\\\ \\ \mathtt{OA^{2} =\ 25}\\\ \\ \mathtt{OA\ =\ 5\ units}

Hence, the point is located 5 units from origin.